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Finding the Third Proportional to 175,658.63 and 390,622.50

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Solution

The third proportional to 175,658.63 and 390,622.50 is: 868,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,658.63 : 390,622.50 = 390,622.50 : x
  2. Step 2: Convert to fraction form
    175,658.63/390,622.50 = 390,622.50/x
  3. Step 3: Cross multiply
    175,658.63x = 390,622.50 × 390,622.50
  4. Step 4: Simplify right side
    175,658.63x = 152,585,937,506.25
  5. Step 5: Solve for x
    x = 152,585,937,506.25/175,658.63
  6. Step 6: Final answer
    x = 868,650.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.